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Finding the Fourth Proportional to 39,199, 58,808.27 and 11,497

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Solution

The fourth proportional to 39,199, 58,808.27 and 11,497 is: 17,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,199 : 58,808.27 = 11,497 : x
  2. Step 2: Convert to fraction form
    39,199/58,808.27 = 11,497/x
  3. Step 3: Cross multiply
    39,199x = 58,808.27 × 11,497
  4. Step 4: Simplify right side
    39,199x = 676,118,680.19
  5. Step 5: Solve for x
    x = 676,118,680.19/39,199
  6. Step 6: Final answer
    x = 17,248.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.